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The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula C=100,000p/100-p. According to the estimate, how much more would it cost to remove 90% of the pollutant from the pond than it would cost to remove 80% of the pollutant? (A) $500,000 (B) $100,000 (C) $50,000 (D) $10,000 (E) $5,000

Respuesta :

Answer:

(A) $500,000

Step-by-step explanation:

Given formula for finding the cost ( in dollars ) to remove p percent of a certain pollutant,

[tex]C=\frac{100000p}{100-P}[/tex]

If P = 90,

[tex]C=\frac{100000\times 90}{100-90}=\frac{9000000}{10}=900000[/tex]

If P = 80,

[tex]C=\frac{100000\times 80}{100-80}=\frac{8000000}{20}=400000[/tex]

∵ 900000 - 400000 = 500000,

Hence, it will cost $500,000 more to remove 90% of the pollutant from the pond than it would cost to remove 80% of the pollutant,

Option '(A)' is correct.

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